Differences of weighted composition operators from Bloch space to $H^{\infty }$ on the unit ball

Abstract

In this paper, we study the boundness and compactness of differences of weighted composition operators from the Bloch space $\mathcal{B}$ to the space $H^{\infty }$ of bounded analytic functions on the open unit ball of ${\mathbb{C}}^n$. Moreover, we estimate the norm and the essential norm of differences of composition operators from $\mathcal{B}$ to $H^{\infty }$.